ON THE SPECTRAL TYPE OF ORNSTEINS CLASS ONE TRANSFORMATIONS

Authors
BOURGAIN J
Citation
J. Bourgain, ON THE SPECTRAL TYPE OF ORNSTEINS CLASS ONE TRANSFORMATIONS, Israel Journal of Mathematics, 84(1-2), 1993, pp. 53-63
Citations number
5
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Israel Journal of Mathematics → ACNP
ISSN journal
00212172
Volume
84
Issue
1-2
Year of publication
1993
Pages
53 - 63
Database
ISI
SICI code
0021-2172(1993)84:1-2<53:OTSTOO>2.0.ZU;2-Z
Abstract
It is shown that D. Ornstein's construction of class one transformatio ns leads almost surely to singular maximal spectral type. Some related harmonic analysis problems are discussed.